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2 years ago

Y=3x+14 2x-3y=-14 Substitution method

Mathematics

2 answers:

riadik2000 [5.3K]2 years ago

5 0

X=-8

I know it’s that so it’s does not need a explanation

Montano1993 [528]2 years ago

4 0

Answer:

x = -8

Step-by-step explanation:

y = 3x + 14

2x - 3y = -14

So, what is the substitution? Y of course, this is because y is equal to 3x + 14.

2x - 3 (3x + 14) = -14

Multiply 3 with the numbers in the parentheses.

2x - 9x + 42 = -14

So you maybe be wondering why it is a negative 7 instead of subtracting 9 with 2. Using PEMDAS, we always read from left to right. So it is basically 2 -9 and you get -7.

-7x + 42 = -14

Then subtract 42 from both sides.

-7x + 42 - 42 = -14 - 42

Simplify

-7x = -56

Divide 7 by both sides.

-7x / 7 = -56 / 7

x = -8

And you might ask, why we get x instead afterwards. This is because both -7 and 7 cancel each other out leaving us with x.

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I need help on this asap (math)

prisoha [69]

Answer:

the second one

Step-by-step explanation:

when you multiply 2 negative numbers they turn into a positive

15/-5=-3

3 0

3 years ago

Read 2 more answers

Please help!!!<br><br><br>find the measure of the largest interior angle of this polygon

Karolina [17]

Answer:

122 or (3x-4).

Step-by-step explanation:

First, let's take a look at the polygon

The polygon has 5 sides.

We can calculate it's sum of interior angles by using (n-2)*180

Here, number of sides(n)=5

Therefore, (n-2)*180=(5-2)*180=3*180=540

Now that we got that out of the way, let's solve for x

2x+9+3x-8+3x-4+3x-10+2x+7=540

or,13x-6=540

or,13x=546

or,x=42

Now, solve for each interior angle,

2x+9=93

3x-8=118

3x-4=122

3x-10=116

2x+7=91

The largest here s 122 which is 3x-4.

SO, the largest interior angle=122 or (3x-4).

4 0

3 years ago

What is the rate of change of the line through (2,3) and (3,8)?

Luda [366]

The rate of change of a line is regarded as the slope/ gradient (m) of the line

The slope/ gradient (m) of the line moving through points (x₁,y₁) and (x₂,y₂) is given as

$\begin{gathered} \text{slope (m)=}\frac{y_2-y_1}{x_2-x_1} \\ \text{Where x}_1=2,y_1=3_{} \\ \text{and x}_{2=}3,y_2=8 \end{gathered}$

On substituting the above values in the formula above we will have the slope to be

$\begin{gathered} \text{Slope (m)=}\frac{8-3}{3-2} \\ \text{slope (m)=5/1} \\ \text{slope (m)=5} \end{gathered}$

Therefore,

The rate of change of the line through (2,3) and (3,8) is 5

8 0

1 year ago

Help its for someone!!

yawa3891 [41]

Answer:

b 17/18

Step-by-step explanation:

Solve the one's in bracket then later solve everything together

5 0

3 years ago

F(x) = square root of x+9 ; g(x) = 8x - 13<br> Find f(g(x))

ryzh [129]

Answer:

$\sqrt{8x-4}$

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(8x - 13)

= $\sqrt{8x-13+9}$

= $\sqrt{8x-4}$

3 0

3 years ago